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Quantum Monte Carlo Simulations of the Two-Dimensional Attractive Hubbard Model: Phase Diagram and Spectral Properties

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Book cover Symmetry and Pairing in Superconductors

Part of the book series: NATO Science Series ((ASHT,volume 63))

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Abstract

The problem of a crossover from a weak coupling BCS (Bardeen-Cooper-Schrieffer, [1]) picture of Cooper pair formation and condensation at a critical temperature to a Bose-Einstein condensation (BEC, [2]) of preformed (local) pairs has recently attracted great attention. The motivation to study this problem comes from experimental observations regarding unusual properties of the high-T c cuprate superconductors. Particularly interesting in this respect are recent experiments showing a pseudo-gap structure in the normal-state density of states of underdoped cuprates that persists almost up to room temperature [3, 4, 5, 6, 7]. A further unusual property different from conventional BCS-type superconductors is the extreme short coherence length (of the order of some lattice constants) of the pairs in the superconducting state, much smaller than in usual superconductors (where it is of the order of several thousand Å). Consequently, the pairing in the cuprates is much less mean-field like. Many physical properties of cuprate superconductors depend on hole doping, thus, leading to a rather universal doping dependence of the transition temperature T c . At a certain doping level x u , the so called underdoped limit, the materials undergo at T > 0 an insulator to anomalous metal transition, and at T = 0 an insulator to superconductor transition. As x is increased T c rises rapidly and attains a maximum at x m (optimum doping).

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Authors and Affiliations

  1. Physikinstitut, Universität Zürich, CH-8057, Zürich, Switzerland

    J. M. Singer, T. Schneider & P. F. Meier

Authors
  1. J. M. Singer
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  2. T. Schneider
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  3. P. F. Meier
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Editor information

Editors and Affiliations

  1. SUPRAS, Institute of Physics, University of Liège, Belgium

    Marcel Ausloos

  2. Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine

    Sergei Kruchinin

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© 1999 Springer Science+Business Media Dordrecht

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Singer, J.M., Schneider, T., Meier, P.F. (1999). Quantum Monte Carlo Simulations of the Two-Dimensional Attractive Hubbard Model: Phase Diagram and Spectral Properties. In: Ausloos, M., Kruchinin, S. (eds) Symmetry and Pairing in Superconductors. NATO Science Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4834-4_5

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  • DOI: https://doi.org/10.1007/978-94-011-4834-4_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5521-2

  • Online ISBN: 978-94-011-4834-4

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